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13506840 = 23325172207
BaseRepresentation
bin110011100001…
…100100011000
3221102012220100
4303201210120
511424204330
61201255400
7222543354
oct63414430
927365810
1013506840
117695986
124634560
132a4bb19
141b18464
1512bc060
hexce1918

13506840 has 96 divisors (see below), whose sum is σ = 46500480. Its totient is φ = 3388416.

The previous prime is 13506833. The next prime is 13506841. The reversal of 13506840 is 4860531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13506841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5017 + ... + 7223.

It is an arithmetic number, because the mean of its divisors is an integer number (484380).

Almost surely, 213506840 is an apocalyptic number.

13506840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13506840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23250240).

13506840 is an abundant number, since it is smaller than the sum of its proper divisors (32993640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13506840 is a wasteful number, since it uses less digits than its factorization.

13506840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13506840 is about 3675.1653024048. The cubic root of 13506840 is about 238.1503651654.

The spelling of 13506840 in words is "thirteen million, five hundred six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 2207 3060 4414 6120 6621 8828 11035 13242 17656 19863 22070 26484 33105 37519 39726 44140 52968 66210 75038 79452 88280 99315 112557 132420 150076 158904 187595 198630 225114 264840 300152 337671 375190 397260 450228 562785 675342 750380 794520 900456 1125570 1350684 1500760 1688355 2251140 2701368 3376710 4502280 6753420 13506840